If you are the same number of generations from a common ancestor, you are just a plain cousin, where the number is one less than the number of generations.

Common GRANDparent (2 generations):
FIRST cousins.
Common GREAT-grandparent (3 generations):
SECOND cousins.
etc.

When the number of generations is NOT equal, then the Removals come in.

The child of your Nth cousin
is your Nth cousin-once removed.

The grandchild of your Nth cousin
is your Nth cousin-twice removed.
etc.